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Finding the Fourth Proportional to 76,506.62, 105,575.66 and 42,514.94

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Solution

The fourth proportional to 76,506.62, 105,575.66 and 42,514.94 is: 58,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.62 : 105,575.66 = 42,514.94 : x
  2. Step 2: Convert to fraction form
    76,506.62/105,575.66 = 42,514.94/x
  3. Step 3: Cross multiply
    76,506.62x = 105,575.66 × 42,514.94
  4. Step 4: Simplify right side
    76,506.62x = 4,488,542,850.36
  5. Step 5: Solve for x
    x = 4,488,542,850.36/76,506.62
  6. Step 6: Final answer
    x = 58,668.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.